Question: Given a measure space (X, A, ). Let (fn) and f be extended real-valued mea- surable functions on DEA and assume that f is

Given a measure space (X, A, ). Let (fn) and f be

Given a measure space (X, A, ). Let (fn) and f be extended real-valued mea- surable functions on DEA and assume that f is real-valued a.e. on D. Suppose limn- fpfn-f|Pdp = 0 for some fixed pe (0, 0). Show that fnf on D.

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